code: def expand(
      self,
      batch_shape: Sequence[int],
      _instance: UnifiedSkewNormal = None,
  ) -> UnifiedSkewNormal:
      new = self._get_checked_instance(UnifiedSkewNormal, _instance)
      super(UnifiedSkewNormal, new).__init__(
          batch_shape=batch_shape,
          event_shape=self.event_shape,
          validate_args=False,
      )
  
      new._validate_args = self._validate_args
      new.gauss = self.gauss.expand(batch_shape=batch_shape)
      new.trunc = self.trunc.expand(batch_shape=batch_shape)
      new.cross_covariance_matrix = self.cross_covariance_matrix.expand(
          batch_shape + self.cross_covariance_matrix.shape[-2:]
      )
  
      # Expand cached properties
      for name, _ in getmembers(
          UnifiedSkewNormal, lambda x: isinstance(x, lazy_property)
      ):
          if name not in self.__dict__:
              continue
  
          obj = getattr(self, name)
          if isinstance(obj, Tensor):
              base = obj if (obj._base is None) else obj._base
              new_obj = obj.expand(batch_shape + base.shape)
          elif isinstance(obj, Distribution):
              new_obj = obj.expand(batch_shape=batch_shape)
          else:
              raise TypeError(
                  f"Type {type(obj)} of UnifiedSkewNormal's lazy property "
                  f"{name} not supported."
              )
  
          setattr(new, name, new_obj)
      return new
  
imports: from __future__ import annotations
  from inspect import getmembers
  from typing import Optional, Sequence, Union
  import torch
  from botorch.utils.probability.linalg import augment_cholesky, block_matrix_concat
  from botorch.utils.probability.mvnxpb import MVNXPB
  from botorch.utils.probability.truncated_multivariate_normal import TruncatedMultivariateNormal
  from linear_operator.operators import LinearOperator
  from linear_operator.utils.errors import NotPSDError
  from torch import Tensor
  from torch.distributions.multivariate_normal import Distribution, MultivariateNormal
  from torch.distributions.utils import lazy_property
  from torch.nn.functional import pad
label_desc: Use image node_id 5 for calling the UnifiedSkewNormal obj's underlying member method code with example usage: obj.expand(batch_shape, _instance) and returns: new